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Finding the Fourth Proportional to 11,429.80, 15,772.74 and 6,394

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Solution

The fourth proportional to 11,429.80, 15,772.74 and 6,394 is: 8,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.80 : 15,772.74 = 6,394 : x
  2. Step 2: Convert to fraction form
    11,429.80/15,772.74 = 6,394/x
  3. Step 3: Cross multiply
    11,429.80x = 15,772.74 × 6,394
  4. Step 4: Simplify right side
    11,429.80x = 100,850,899.56
  5. Step 5: Solve for x
    x = 100,850,899.56/11,429.80
  6. Step 6: Final answer
    x = 8,823.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.